For the system of linear equations 2x - y + 3z = 5, 3x + 2y - z =… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 10 April, Shift 1Solving Linear Equations (Matrix Method)

For the system of linear equations $2x - y + 3z = 5$ , $3x + 2y - z = 7$ , $4x + 5y + \alpha z = \beta$ , which of the following is NOT correct?

A
The system is inconsistent for $\alpha = -5$ and $\beta = 8$
B
The system has infinitely many solutions for $\alpha = -6$ and $\beta = 9$
C
The system has a unique solution for $\alpha \neq -5$ and $\beta = 8$
D
The system has infinitely many solutions for $\alpha = -5$ and $\beta = 9$

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